5(x+3)-(x+3)=x

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Solution for 5(x+3)-(x+3)=x equation:


Simplifying
5(x + 3) + -1(x + 3) = x

Reorder the terms:
5(3 + x) + -1(x + 3) = x
(3 * 5 + x * 5) + -1(x + 3) = x
(15 + 5x) + -1(x + 3) = x

Reorder the terms:
15 + 5x + -1(3 + x) = x
15 + 5x + (3 * -1 + x * -1) = x
15 + 5x + (-3 + -1x) = x

Reorder the terms:
15 + -3 + 5x + -1x = x

Combine like terms: 15 + -3 = 12
12 + 5x + -1x = x

Combine like terms: 5x + -1x = 4x
12 + 4x = x

Solving
12 + 4x = x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
12 + 4x + -1x = x + -1x

Combine like terms: 4x + -1x = 3x
12 + 3x = x + -1x

Combine like terms: x + -1x = 0
12 + 3x = 0

Add '-12' to each side of the equation.
12 + -12 + 3x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 0 + -12
3x = 0 + -12

Combine like terms: 0 + -12 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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